Suppose that the amount of time that students spend studying in the library in one sitting is normally distributed with mean 44 minutes and standard deviation 18 minutes. A researcher observed 42 students who entered the library to study. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X N b. What is the distribution of ? N( æ? E c. What is the distribution of x - N(
Suppose that the amount of time that students spend studying in the library in one sitting is normally distributed with mean 44 minutes and standard deviation 18 minutes. A researcher observed 42 students who entered the library to study. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X N b. What is the distribution of ? N( æ? E c. What is the distribution of x - N(
MATLAB: An Introduction with Applications
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![Suppose that the amount of time that students spend studying in the library in one sitting is normally
distributed with mean 44 minutes and standard deviation 18 minutes. A researcher observed 42 students
who entered the library to study. Round all answers to 4 decimal places where possible.
a. What is the distribution of X? X - N(
b. What is the distribution of ? - N(
c. What is the distribution of > x? x - N(
d. If one randomly selected student is timed, find the probability that this student's time will be
between 43 and 44 minutes.
e. For the 42 students, find the probability that their average time studying is between 43 and 44
minutes.
f. Find the probability that the randomly selected 42 students will have a total study time less than
2016 minutes.
g. For part e) and f), is the assumption of normal necessary? O YesO No
h. The top 15% of the total study time for groups of 42 students will be given a sticker that says "Great
dedication". What is the least total time that a group can study and still receive a sticker?
minutes
dint:
ome Helpful Videos:](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F53834cb2-b620-4392-b288-53a50b042a08%2F007949f3-0b24-4911-b93e-52811c523fe3%2Fxpkm049_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Suppose that the amount of time that students spend studying in the library in one sitting is normally
distributed with mean 44 minutes and standard deviation 18 minutes. A researcher observed 42 students
who entered the library to study. Round all answers to 4 decimal places where possible.
a. What is the distribution of X? X - N(
b. What is the distribution of ? - N(
c. What is the distribution of > x? x - N(
d. If one randomly selected student is timed, find the probability that this student's time will be
between 43 and 44 minutes.
e. For the 42 students, find the probability that their average time studying is between 43 and 44
minutes.
f. Find the probability that the randomly selected 42 students will have a total study time less than
2016 minutes.
g. For part e) and f), is the assumption of normal necessary? O YesO No
h. The top 15% of the total study time for groups of 42 students will be given a sticker that says "Great
dedication". What is the least total time that a group can study and still receive a sticker?
minutes
dint:
ome Helpful Videos:
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